Question

checking for understanding
bacteria are grown in petri dishes filled with agar. draw bacteria within each petri dish that matches the density description.
high density
medium density
low density
rectangular prisms
complete the missing sections within each prism. to calculate the volume of prism 1, multiply the length x width x height. for prism 2, use the known values of the mass and density to calculate the volume. round all answers to the nearest tenth.
prism 1
width (0.76 cm)
height (1 cm)
mass: 25 g
volume:
density:
length (2.7 cm)
prism 2
mass: 12 g
volume:
density: 9.2 g/cm³
prism 3
mass:
volume: 15.7 cm³
density: 8.7 g/cm³
liquid density
directions
step 1: calculate the density of the six liquids. do not round the final answer.

liquid	color	mass	volume	density
liquid b	orange	63.5 g	50 ml
liquid c	green	59.5 g	50 ml
liquid d	red	82.5 g	50 ml
liquid e	pink	40 g	50 ml
liquid f	purple	48 g	50 ml

step 2: use the data from the table to label and color the layers in the density column jar. layer c has been labeled for you. *hint: less dense objects float on top of more dense objects.
density column
liquid c (1.19 g/ml)

Explanation:

Prism 1:

Step1: Calculate volume

Use the formula $V = l\times w\times h$. Given $l = 2.7$ cm, $w=0.76$ cm and $h = 1$ cm.
$V_1=2.7\times0.76\times1 = 2.052\approx2.1$ $cm^3$

Step2: Calculate density

Use the formula $
ho=\frac{m}{V}$. Given $m = 25$ g and $V\approx2.1$ $cm^3$.
$
ho_1=\frac{25}{2.1}\approx11.9$ $g/cm^3$

Prism 2:

Step1: Calculate volume

Use the formula $V=\frac{m}{
ho}$. Given $m = 12$ g and $
ho = 9.2$ $g/cm^3$.
$V_2=\frac{12}{9.2}\approx1.3$ $cm^3$

Prism 3:

Step1: Calculate mass

Use the formula $m=
ho\times V$. Given $
ho = 8.7$ $g/cm^3$ and $V = 15.7$ $cm^3$.
$m_3=8.7\times15.7 = 136.59\approx136.6$ g

Liquid Densities:

Liquid A

Use the formula $
ho=\frac{m}{V}$. Given $m = 50$ g and $V = 50$ mL.
$
ho_A=\frac{50}{50}=1$ $g/mL$

Liquid B

Use the formula $
ho=\frac{m}{V}$. Given $m = 63.5$ g and $V = 50$ mL.
$
ho_B=\frac{63.5}{50}=1.27$ $g/mL$

Liquid C

Given $
ho_C = 1.19$ $g/mL$

Liquid D

Use the formula $
ho=\frac{m}{V}$. Given $m = 82.5$ g and $V = 50$ mL.
$
ho_D=\frac{82.5}{50}=1.65$ $g/mL$

Liquid E

Use the formula $
ho=\frac{m}{V}$. Given $m = 40$ g and $V = 50$ mL.
$
ho_E=\frac{40}{50}=0.8$ $g/mL$

Liquid F

Use the formula $
ho=\frac{m}{V}$. Given $m = 48$ g and $V = 50$ mL.
$
ho_F=\frac{48}{50}=0.96$ $g/mL$

Answer:

Prism 1 Volume: $2.1$ $cm^3$, Prism 1 Density: $11.9$ $g/cm^3$, Prism 2 Volume: $1.3$ $cm^3$, Prism 3 Mass: $136.6$ g, Liquid A Density: $1$ $g/mL$, Liquid B Density: $1.27$ $g/mL$, Liquid C Density: $1.19$ $g/mL$, Liquid D Density: $1.65$ $g/mL$, Liquid E Density: $0.8$ $g/mL$, Liquid F Density: $0.96$ $g/mL$